Research
Uncertainty Quantification, Statistics, Machine Learning
Uncertainty Quantification of the 4th kind; optimal posterior accuracy-uncertainty tradeoff with the minimum enclosing ball, with Pau Batlle Franch, Houman Owhadi, Clint Scovel, Mahdy Shirdel, Michael Stanley, Peyman Tavallali. [PDF]
Decision-Theoretic Bootstrapping, with Peyman Tavallali, Danial J. Esaid, Houman Owhadi. [PDF]
Decision Theory, Rationality, Social Choice Theory
Aggregation of Models, Choices, Beliefs, and Preferences, with Houman Owhadi. [PDF]
Aggregation of Pareto optimal models, with Houman Owhadi. [PDF]
Closure operators: Complexity and applications to classification and decision-making, with Federico Echenique.
A Mathematical Theory of Classifiers; Representations and Applications. [PDF]
A Theory of Recursive Aggregation with Applications. [PDF]
A Subjective Conditional Expected Utility Theory of State-Dependent Preferences.
Work in Progress
Review of Optimization, Game Theory, Statistical Decision Theory, with Houman Owhadi and Clint Scovel.
New Applications of Decision Theory and Reproducing Kernel Hilbert Spaces in Machine Learning.
Generalized Methods of Moments and Applications in Machine Learning.
A General Random Expected Utility Theory, with Kota Saito.